SubGaussian random variables in Hilbert spaces (Q1378835)

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scientific article; zbMATH DE number 1115653
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SubGaussian random variables in Hilbert spaces
scientific article; zbMATH DE number 1115653

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    SubGaussian random variables in Hilbert spaces (English)
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    20 July 1998
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    Three different definitions of sub-Gaussianity of the random elements with values in a separable Hilbert space are proposed, each of them is a natural generalization and extension of a known notion of sub-Gaussianity for the finite-dimensional case. Conditions of sub-Gaussianity of the random element and relations between the given definitions are studied and determined.
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    sub-Gaussian random variables in Hilbert spaces
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    Gaussian vector
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    covariance operator
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